1. Verify the Divergence Theorem in the calculation of the flux of the vector field: through the cylindrical surface + y² = 1 with the z variable in the range

5) Find the flux of F = (-2y, -x) on the circle of radius 2 centered at the origin. Use the vector field grapher shown in class and cut and paste the vector field here. Before you calculate the flux do you expect your answer to be positive, negative, or zero?

Determine if the scalar vector field is Lip schit Continuous on the indicated domain f(x) = ex, 2 = (-∞,0)

Compute the flux of the vector field F = 5yi +37-5xzk through the surface S, which is the surface y = x² + 2², with x² + 2² ≤ 1, oriented in the positive y-direction. flux = You can get a hint after 2 incorrect answers.